Exercise 3.3.1: Properties of functions that map ordered pairs of integers to integers. Consider the following functions from Z × Z to Z. Which ones are onto? Justify your answer. (b) f(x, y) = |x| - |y|
Exercise 3.3.1: Properties of functions that map ordered pairs of integers to integers. Consider the following functions from Z × Z to Z. Which ones are onto? Justify your answer. (b) f(x, y) = |x| - |y|
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 3.3.1: Properties of functions that map ordered pairs of integers to integers.
Consider the following functions from Z × Z to Z. Which ones are onto? Justify your answer.
(b)
f(x, y) = |x| - |y|
(c)
f(x, y) = x + y - 2.
(d)
f(x, y) = x|y|
(e)
f(x, y) = x|2y|
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